Question
Asked Oct 21, 2019
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Assume the random variable X is normally distributed with mean u 50 and standard deviation o = 7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.
P(56 X66)
Which of the following normal curves corresponds to P(56 SX366)?
Ос.
A.
В.
Л
Л
50 56 66
50 56 66
50 56 66
(Round to four decimal places as needed.)
P(56 Xs66)
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Assume the random variable X is normally distributed with mean u 50 and standard deviation o = 7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(56 X66) Which of the following normal curves corresponds to P(56 SX366)? Ос. A. В. Л Л 50 56 66 50 56 66 50 56 66 (Round to four decimal places as needed.) P(56 Xs66)

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Expert Answer

Step 1

The following normal curve corresponds to P (56 ≤ X ≤ 66) is obtained below:

The P (56 ≤ X ≤ 66) is developed using MINITAB:

 Choose Graph > Probability Distribution Plot choose View Probability > OK.

  • From Distribution, choose ‘Normal’ distribution.
  • In Mean enter the value as 50.
  • In Standard deviation enter the value as 7.
  • Click the Shaded Area
  • Choose X Value and Middle for the region of the curve to shade.
  • Enter the X value 1 as 56.
  • Enter the X value 2 as 66.
  • Click OK.

Follow the above instructions to obtain the MINITAB output.

 

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Distribution Plot Normal, Mean 50, StDev=7 0.06 0.05 0.04 0.03 0.02 0.1845 0.01 0.00 50 56 66 х Density

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Step 2

From the above output the option B is correct.

The value of P (56 ≤ X ≤ 66) is obtained below:

Let X ~N (µ, σ), t...

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Z =

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